The length of the dioganls of a rhombus are in the ratio 5:3. If its area is 1080 cm square, find its diagonals.
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Answer:
let the diagonals are 5x and 3x
so area of the rhombus is
5x.3x/2=1080
=> 15 x^2=1080×2=2160
=> x^2=2160/15=144
=> x^2=144
=> x=√144=12
so diagonals are 5.12 cm=60 cm
and 3.12 cm= 36 cm
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